Minimum Concave Cost Series Production Systems with Deterministic Demands: A Backlogging Case.

Minimum Concave Cost Series Production Systems with Deterministic Demands: A Backlogging Case.
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具有确定性需求的最小凹成本系列生产系统:积压案例。

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发表时间:
1973
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通讯作者:
H. Konno
H. Konno
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作者:
H. Konno

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本文考虑了一类具有确定性需求的凹成本系列生产与库存系统,其中(i)允许在最终设备的缺货和/或(ii)允许在中间设备的需求,并给出了(i)的动态规划算法,它是W. Zangwill [3],[4]对于一个类似的系统,但没有积压或中间需求_我们的算法需要OCNn 4)加法和比较,其中N是设施的数量,n是周期的数量。此外,还提出了Cii)的类似算法。
In this paper, we will consider a concave-cost series production and inventory system with deterministic demands in which (i) backlogging at the final facility and/or (ii) demands at an intermediate facility is allowed_ A dynamic programming algorithm for (i) will be de­ veloped, which is a direct extension of the results obtained by W. Zangwill [3], [4] for a similar system but without backlogging or in­ termediate demands_ Our algorithm requires OCNn4) additions and comparisons where N is the number of facilities and n is the number of periods. Also, an analogous algorithm for Cii) is suggested.